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Zapiski Nauchnykh Seminarov POMI, 1999, Volume 257, Pages 7–15 (Mi znsl980)  
This article is cited in 3 scientific papers (total in 4 papers)

On computation of the diagram of the wave, scattered by the vertex of a cone of arbitrary shape

V. M. Babich, V. V. Kamotskii

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (197 kB) Citations (4)
Abstract: A method of computation (a version of Abel–Poisson method of summation of divergent series) of the diagram of the wave scattered by the vertex of a cone of arbitrary shape is justified. Applying the techniques of parabolic operators it is shown that the approximation, as well as all its derivatives, converges uniformly in the domain of regularity of scattering amplitude.
Received: 26.08.1998
English version:
Journal of Mathematical Sciences (New York), 2002, Volume 108, Issue 5, Pages 635–641
DOI: https://doi.org/10.1023/A:1013220610269
Bibliographic databases:
UDC: 517.934
Language: Russian
Citation: V. M. Babich, V. V. Kamotskii, “On computation of the diagram of the wave, scattered by the vertex of a cone of arbitrary shape”, Mathematical problems in the theory of wave propagation. Part 28, Zap. Nauchn. Sem. POMI, 257, POMI, St. Petersburg, 1999, 7–15; J. Math. Sci. (New York), 108:5 (2002), 635–641
Citation in format AMSBIB
\Bibitem{BabKam99}
\by V.~M.~Babich, V.~V.~Kamotskii
\paper On computation of the diagram of the wave, scattered by the vertex of a~cone of arbitrary shape
\inbook Mathematical problems in the theory of wave propagation. Part~28
\serial Zap. Nauchn. Sem. POMI
\yr 1999
\vol 257
\pages 7--15
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl980}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1754689}
\zmath{https://zbmath.org/?q=an:0978.35071}
\transl
\jour J. Math. Sci. (New York)
\yr 2002
\vol 108
\issue 5
\pages 635--641
\crossref{https://doi.org/10.1023/A:1013220610269}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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